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arXiv · 1402.5042

Beyond Rainbow-Ladder in bound state equations

Walter Heupel·Tobias Goecke·Christian S. Fischer
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Abstract

In this work we devise a new method to study quark anti-quark interactions beyond simple ladder-exchange that yield massless pions in the chiral limit. The method is based on the requirement to have a representation of the quark-gluon vertex that is explicitly given in terms of quark dressings functions. We outline a general procedure to generate the Bethe-Salpeter kernel for a given vertex representation. Our method allows not only the identification of the mesons' masses but also the extraction of their Bethe-Salpeter wave functions exposing their internal structure. We exemplify our method with vertex models that are of phenomenological interest.

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Walter Heupel, Tobias Goecke, Christian S. Fischer. 2014-02-20. Beyond Rainbow-Ladder in bound state equations. https://doi.org/10.1140/epja/i2014-14085-x

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